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Recent questions tagged combinatory

1 votes
2 answers
991
Different color combination of identical balls
There are three identical red balls and four identical blue balls in bag.Three balls are drawn.what is the number of different color combinations ?
There are three identical red balls and four identical blue balls in bag.Three balls are drawn.what is the number of different color combinations ?
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3 votes
1 answer
992
ISRO-2013-53
A CPU scheduling algorithm determines an order for the execution of its scheduled processes. Given 'n' processes to be scheduled on one processor, how many possible different schedules are there? $n$ $n^{2}$ $n!$ $2^{n}$
A CPU scheduling algorithm determines an order for the execution of its scheduled processes. Given 'n' processes to be scheduled on one processor, how many possible diffe...
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0 votes
1 answer
993
Combinatorics
$T_k = \,^{100}C_k \cdot x^{100-k} \quad \text{for} \quad k = 0, 1, 2, \ldots 100$ Then, what will be the value of $\Bigl (T_0 - T_2 + T_4 - \cdots + T_{100} \Bigr )^2 + \Bigl (T_1 - T_3 + T_5 - \cdots - T_{99} \Bigr )^2$ The answer should be in terms of $x$
$$T_k = \,^{100}C_k \cdot x^{100-k} \quad \text{for} \quad k = 0, 1, 2, \ldots 100$$Then, what will be the value of$$\Bigl (T_0 - T_2 + T_4 - \cdots + T_{100} \Bigr )^2 +...
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1 votes
2 answers
996
circular arrangement
how many ways are there to arrange 6 girls and 15 boys in a circle such that there are atleast two boys between two adjacent girls?
how many ways are there to arrange 6 girls and 15 boys in a circle such that there are atleast two boys between two adjacent girls?
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1 votes
1 answer
998
No. of ways in which 2n white and 2n black balls can be arranged such that no consecutive n white balls are together
The number of ways in which $2n$ white and $2n$ black balls can be arranged such that no consecutive $n$ white balls are together, is${}^{2n+1}C_2 + {}^{4n}C_{2n}$${}^{2n...
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12 votes
6 answers
1000
GATE2014 EC-4: GA-10
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers? $6666660$ $6666600$ $6666666$ $6666606$
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$ $6666600...
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1 votes
1 answer
1002
In how many ways can 5 chocolates be chosen from an unlimited number of Cadbury,Five-star, and Perk chocolates?
we have to choose five chocolates,say, C1, C2, C3, C4 and C5. Now for C1 we can choose among three kinds of chocolates. Since the supply of chocolates is infinite, for C2...
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11 votes
4 answers
1003
GATE2012 AR: GA-5
Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is $20$ $45$ $60$ $90$
Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is $20$$45$$60$$90$
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5 votes
2 answers
1004
GATE2015 CE-2: GA-8
How many four digit numbers can be formed with the 10 digits $0, 1, 2, \ldots, 9$ if no number can start with 0 and if repetitions are not allowed?
How many four digit numbers can be formed with the 10 digits $0, 1, 2, \ldots, 9$ if no number can start with 0 and if repetitions are not allowed?
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6 votes
4 answers
1005
GATE2015 ME-3: GA-5
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to complete the league round of matches? $20$ $10$ $8$ $5$
Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to co...
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67 votes
10 answers
1006
GATE CSE 2016 Set 1 | Question: 27
Consider the recurrence relation $a_1 =8 , a_n =6n^2 +2n+a_{n-1}$. Let $a_{99}=K\times 10^4$. The value of $K$ is __________.
Consider the recurrence relation $a_1 =8 , a_n =6n^2 +2n+a_{n-1}$. Let $a_{99}=K\times 10^4$. The value of $K$ is __________.
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57 votes
17 answers
1007
GATE CSE 2016 Set 1 | Question: 26
The coefficient of $x^{12}$ in $\left(x^{3}+x^{4}+x^{5}+x^{6}+\dots \right)^{3}$ is ___________.
The coefficient of $x^{12}$ in $\left(x^{3}+x^{4}+x^{5}+x^{6}+\dots \right)^{3}$ is ___________.
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0 votes
1 answer
1010
Total number of solutions
If $x_1+x_2+x_3+x_4 =98$ and $x_1, x_2,x_3$ and $x_4$ are odd numbers, calculate total number of solutions of the equation?
If $x_1+x_2+x_3+x_4 =98$ and $x_1, x_2,x_3$ and $x_4$ are odd numbers, calculate total number of solutions of the equation?
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0 votes
2 answers
1011
division among groups
In order to play basketball,10 childrens at playgorund divide themselves into two teams of 5 each.How many divisions are possible?
In order to play basketball,10 childrens at playgorund divide themselves into two teams of 5 each.How many divisions are possible?
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0 votes
1 answer
1012
MadeEasy Test Series: Combinatory - Permutations And Combinations
Number of solutions are there of x+y+z=17 in positive integers are_________ Here in this do we have to take constraints of x>=1,y>=1,z>=1?
Number of solutions are there of x+y+z=17 in positive integers are_________Here in this do we have to take constraints of x>=1,y>=1,z>=1?
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1 votes
1 answer
1013
Permutation n combination
what is the correct solution to this question??
what is the correct solution to this question??
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0 votes
1 answer
1014
In how many ways can 2n+1 seats in a congress be divided among 3 parties ?
In how many ways can $2n+1$ seats in a congress be divided among 3 parties so that coalition of any 2 parties will ensure them majority?
In how many ways can $2n+1$ seats in a congress be divided among 3 parties so that coalition of any 2 parties will ensure them majority?
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0 votes
1 answer
1016
Permutation1.1
If there are 9 students in a class and each team contain 3 students then how many number of ways 9 students can be partitioned into 3 teams? Why is this not 9C3*6C3*3C3?
If there are 9 students in a class and each team contain 3 students then how many number of ways 9 students can be partitioned into 3 teams?Why is this not 9C3*6C3*3C3?
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0 votes
1 answer
1017
Calculating number of possible strings
Couldn't understand the method they have used to find the answer. Please explain
Couldn't understand the method they have used to find the answer. Please explain
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0 votes
1 answer
1019
total possible 4 digit numbers from given 6 digits
total possible 4 digit numbers from 2,3,5,6,7,9 without repetition? total numbers possible less than 500? 360, 130 360, 100 240, 120 none
total possible 4 digit numbers from 2,3,5,6,7,9 without repetition? total numbers possible less than 500?360, 130 360, 100 240, 120 ...
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1 votes
1 answer
1020
MadeEasy Test Series: Combinatory - Permutation And Combinations
5 member commities are to be formed out of 10 people. The names are written in chits of paper and put into 6 boxes. Atleast _______ chits go into the same box.
5 member commities are to be formed out of 10 people. The names are written in chits of paper and put into 6 boxes. Atleast _______ chits go into the same box.
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